Dynamic Semantic Encoding of Time-Varying Substates

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper introduces a novel approach to quantum information processing centered around the dynamic encoding of time-varying quantum states. The core idea is to leverage the evolution of quantum states over time as a carrier of information, offering potential advantages in compression, transmission, and error correction. We propose a framework for mapping the temporal dynamics of quantum states into semantic representations, utilizing quantum entanglement and interference to enhance information density and resilience. The proposed method distinguishes itself from existing techniques that primarily focus on static quantum states by explicitly addressing the time-dependent nature of quantum systems, which promises improved robustness and information storage capacity. This research contributes to a fundamental shift in how we conceptualize and utilize quantum information, opening new avenues for complex data handling and manipulation. The key mathematical concepts utilized within this framework are represented as follows: |ψ(t)| representing the quantum state at time t, ∂|ψ(t)|/∂t representing the time derivative of the quantum state, H(t) representing the Hamiltonian operator governing the time evolution of the state, E[|ψ(t)|] representing the expectation value of the quantum state at time t, ⟨ψ(t)|ψ'(t)⟩ representing the inner product between two quantum states at time t and t', and finally, ρ(t) representing the density matrix of the quantum state at time t. These elements form the foundation for our proposed encoding scheme and its analytical analysis.

DOI: 10.5281/zenodo.22201230

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